Difference between revisions of "ApCoCoA-1:DA.DiffReduce"
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To this end, the elements of G are differentiated sufficiently often and the usual normal form is built. | To this end, the elements of G are differentiated sufficiently often and the usual normal form is built. | ||
<itemize> | <itemize> | ||
| − | <item>@param F Differential polynomial to compute the normal form of.</item> | + | <item>@param <em>F</em> Differential polynomial to compute the normal form of.</item> |
| − | <item>@param G List of differential polynomials to wrt. which the normal form of F is computed.</item> | + | <item>@param <em>G</em> List of differential polynomials to wrt. which the normal form of F is computed.</item> |
<item>@return Normal form of F wrt. G.</item> | <item>@return Normal form of F wrt. G.</item> | ||
</itemize> | </itemize> | ||
Revision as of 11:00, 23 April 2009
DA.DiffReduce
Computes a differential normal form of a differential polynomial wrt. a list of differential polynomials.
Syntax
DA.DiffReduce(F:POLY, G:LIST):POLY
Description
DA.DiffReduce computes the differential normal form of F wrt. the set of differential polynomials G.
To this end, the elements of G are differentiated sufficiently often and the usual normal form is built.
@param F Differential polynomial to compute the normal form of.
@param G List of differential polynomials to wrt. which the normal form of F is computed.
@return Normal form of F wrt. G.
Example
Use Q[x[1..1,0..20]];
Use Q[x[1..1,0..20]], Ord(DA.DiffTO("Lex"));
DA.DiffReduce(x[1,2]^2+x[1,0]^2+3, [x[1,1]+3x[1,0]]);
-------------------------------
82x[1,0]^2 + 3
-------------------------------
